Properties of the Number 22008

Twenty-Two Thousand Eight

Basics

Value: 22007 → 22008 → 22009

Parity: even

Prime: No

Previous Prime: 22003

Next Prime: 22013

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 131

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010111111000

Octal: 52770

Duodecimal: 108A0

Hexadecimal: 55f8

Square: 484352064

Square Root: 148.35093528522157

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = ∑_d∣3 φ(d)*n^3/d. A54602

Triangle T(n,k) in which n-th row lists the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216349

Triangle T(n,k) in which n-th row lists in increasing order the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216350

Least positive integer k such that prime(k·n)² - 2 = prime(i·n)*prime(j·n) for some integers 0 < i < j. A260080

The first of two consecutive positive integers the sum of the squares of which is equal to the sum of the squares of ten consecutive positive integers. A261932

E.g.f. A(x) satisfies A(x) = 1 - log(1-x) * A(3·x). A355087

Least k such that the first k terms of A006928 contain n more 2's than 1's. A25507

Denominators of continued fraction convergents to sqrt(197). A41365

Sixth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways. A215836

Indices in A006928 where the imbalance between 1's and 2's sets a new record. A274775